accountability conceptual digit numbers which leave a remainder 1 on division by 5 write down the sequence please help me
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Step-by-step explanation:
The smallest and the largest numbers of two digits, which when divided by 5 leave remainder 1 are 11 and 96 respectively.
So, the sequence of two digit numbers which when divide by 5 leave remainder 1 are 11,16,21,...,96.
Clearly, it is an AP with first term a=11 and common difference d=5.
Let there be n terms in this sequence.
Then,
an=96⇒a+(n−1)d=96⇒11+(n−1)×5=96⇒n=18
Now, Required sum=2n[2a+(n−1)d]
=218[2×11+(18−1)×5]
=9×107=963.
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